7 research outputs found
On the effectiveness of spectral methods for the numerical solution of multi-frequency highly-oscillatory Hamiltonian problems
Multi-frequency, highly-oscillatory Hamiltonian problems derive from the
mathematical modelling of many real life applications. We here propose a
variant of Hamiltonian Boundary Value Methods (HBVMs), which is able to
efficiently deal with the numerical solution of such problems.Comment: 28 pages, 4 figures (a few typos fixed
Arbitrarily high-order energy-preserving methods for simulating the gyrocenter dynamics of charged particles
Gyrocenter dynamics of charged particles plays a fundamental role in plasma
physics. In particular, accuracy and conservation of energy are important
features for correctly performing long-time simulations. For this purpose, we
here propose arbitrarily high-order energy conserving methods for its
simulation. The analysis and the efficient implementation of the methods are
fully described, and some numerical tests are reported.Comment: 23 pages, 4 figure